On some classes of linear spaces embedded in a Pappian plane
type: Item
instance of: scholarly article
title: On some classes of linear spaces embedded in a Pappian plane
zbMATH Open document ID: 0803.51011
DOI: 10.1016/0012-365X(92)00504-K
author: Paola De Vito
author: Pia Maria Lo Re
published in: Discrete Mathematics
publication date: 1994-07-04T00:00:00Z
review text: A finite linear space \(F\) given by \textit{P. Erdős}, \textit{R. C. Mullin}, \textit{V. T. Sos} and \textit{D. R. Stinson} [Discrete Math. 47, 49-62 (1983; Zbl 0521.51005)] is considered which can be embedded into a finite projective plane of order \(n\). Suppose \(F\) is also embedded into a projective plane \(P\) over some field. Then there is a subplane of \(P\) of order \(n\) in which \(F\) is embeddable except for some exceptions given in the paper under review. It is well-known that such a result is not valid for all finite linear spaces which are embedded as well into a projective plane of order \(n\) as into a infinite projective plane over a field.
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51A45
zbMATH DE Number: 599963
zbMATH Keywords: embeddable configurations
zbMATH Keywords: finite linear space
zbMATH Keywords: projective plane
reviewed by: Herbert Hotje
MaRDI profile type: Publication
cites work: \(n^ 2\)-sets in a projective plane which determine exactly \(n^ 2+n\) lines
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cites work: Q5788706
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cites work: Linear spaces with few lines
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description: scientific article; zbMATH DE number 599963